Online GCD Calculator is useful to find the GCD of 135, 994, 789, 999 quickly. Get the easiest ways to solve the greatest common divisor of 135, 994, 789, 999 i.e 1 in different methods as follows.
Given Input numbers are 135, 994, 789, 999
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (135, 994, 789, 999) = 1.
Given numbers are 135, 994, 789, 999
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 994 are 2 x 7 x 71
Prime factors of 789 are 3 x 263
Prime factors of 999 are 3 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 994, 789, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 994) = 134190
GCD(135, 994) = ( 135 x 994 ) / 134190
= 135 / 994
= 135
Step2:
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
= 1 / 789
= 1
Step3:
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
= 1 / 999
= 1
So, Greatest Common Divisor of 135, 994, 789, 999 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 994, 789, 999
The greatest common divisor of numbers 135, 994, 789, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 994, 789, 999 is 1.
1. What is the GCD of 135, 994, 789, 999?
GCD of given numbers 135, 994, 789, 999 is 1
2. How to calculate the greatest common divisor of 135, 994, 789, 999?
We can find the highest common divisor of 135, 994, 789, 999 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 135, 994, 789, 999 i.e 1.
3. How can I use the GCD of 135, 994, 789, 999Calculator?
Out the numbers 135, 994, 789, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.